Results 91 to 100 of about 477,087 (329)
Arithmetic of the Fabius function
, 2017 I solve here a question of Vladimir Reshetnikov in Mathoverflow (question 261649) about the values of Fabius function. Namely, I prove that the numbers $R_n:=2^{-\binom{n-1}{2}}(2n)! F(2^{-n})\prod_{m=1}^{\lfloor n/2\rfloor}(2^{2m}-1)$ are integers. We show also some other arithmetical properties of the values of Fabius function at dyadic points.
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Acoustic Wavefront Shaping Using Ultrahigh Phase Resolution Metamaterial
Advanced Materials Technologies, EarlyView.A Bilateral Symmetrical T‐shaped (BST) acoustic metamaterial unit cell capable of achieving a high phase resolution of π/36 radians at 8000 Hz is introduced. The approach enables tunable wavefront control through simple rotational adjustment of BST, which offers an alternative to the conventional complex metamaterials unit cell design and a way for ...
Sourabh Dogra +4 more
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Multi‐Level Hybrid Anti‐Counterfeit Labels via Solid‐State Dewetting Under Spatial Confinement
Advanced Materials Technologies, EarlyView.This study presents a hybrid encoding approach combining deterministic patterns fabricated by photolithography and stochastic features formed by the solid‐state dewetting of silver films under strong confinement at the micrometer and nanometer length scales.
Farnaz Foadi +5 more
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Cumhuriyet Science Journal, 2019 In this work, by using both anintegral identity and the Hölder, the power-mean integral inequalities it isestablished several new inequalities for two times differentiablearithmetic-harmonically-convex function. Also, a few applications are given forsome
Huriye Kadakal
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Arithmetical functions associated with arbitrary sets of integers [PDF]
, 1959 Eckford Cohen
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Modal and Reflective Properties of Capacitive and Inductive Terahertz Metasurfaces
Advanced Optical Materials, EarlyView.The propagation regimes of inductive and capacitive metasurfaces are analyzed to reveal the existence of leaky and plasmonic modes. The subtle connection between plasmonic modes and quasi bound‐in‐the‐continuum modes is also disclosed. Experimental validation is carried out through terahertz time‐domain spectroscopy where the frequency shiftof leaky ...
Walter Fuscaldo +5 more
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Iterates of arithmetic functions and a property of the sequence of primes [PDF]
, 1953 Harold N. Shapiro
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The Arithmetic of Hyperbolic Functions [PDF]
Nature, 1911 THROUGHOUT the books treating of hyperbolic functions, although elaborate series for their determination are given, the possibility of calculating them directly from their definitions, by means of common logarithms, is never suggested, and it would appear, therefore, that the merits of the direct method are insufficiently recognised.
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Applications of QSPR and Machine Learning in Molecular Photonics
Advanced Optical Materials, EarlyView.Quantitative structureproperty relationships (QSPR) and machine learning (ML) are transforming photochemistry by enabling pre‐synthetic screening of photoactive molecules. This review outlines advances in data‐driven discovery of optical materials and functional dyes, identifies effective descriptors and models for photophysical processes, and provides
Andrey A. Buglak +2 more
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